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 Apr 29 awarded Yearling Jul 2 awarded Curious Apr 29 awarded Yearling Oct 4 comment A question about a trace operator (is this right?) Hmm, according to Evans I should take $C^0$ instead. I didn't think then that intersection space would be dense.. Oct 3 asked A question about a trace operator (is this right?) Oct 3 asked The constant in the Sobolev trace theorem inequality Oct 1 comment Why is this space dense in this Sobolev space? (Bochner spaces) Thanks man let me read and understand it.. Oct 1 revised Why is this space dense in this Sobolev space? (Bochner spaces) added 105 characters in body Oct 1 comment Why is this space dense in this Sobolev space? (Bochner spaces) @Tomás Cool down I was just about to include it!! Oct 1 revised Existence results for this ODE? (periodic) added 24 characters in body Oct 1 asked Existence results for this ODE? (periodic) Sep 30 comment Why is this space dense in this Sobolev space? (Bochner spaces) @Tomás Recall that $W^1 \subset C([0,T];H)$ by Sobolev embedding, where $V \subset H \subset V^*$ is Gelfand triple. I should've included that. This problem is in the book by Roubicek's Nonlinear PDEs swith Applications, page 264 (see footnotes). Sep 30 accepted How to show this $H^1$ space is separable? Sep 30 comment Why is this space dense in this Sobolev space? (Bochner spaces) @Etienne $u$ has weak derivative $u' \in L^2(0,T;V^*)$ if $\int_0^T u(t)\varphi'(t) = -\int_0^T u'(t)\varphi(t)$ holds for all $\varphi \in C_c^\infty(0,T).$ Sep 30 comment Is $L^2(0,T;V_f) \subset L^2(0,T;V)$ closed if $V_f \subset V$? @Norbert So the subspace is also a banach space. Do you know if there is an easier way to see this other than "closed subspace of Banach space is Banach"? Sep 30 asked Why is this space dense in this Sobolev space? (Bochner spaces) Sep 30 asked How to show this $H^1$ space is separable? Sep 26 comment Definition of global weak solution to PDE Oh I see. I didn't think of that.. Sep 26 comment Definition of global weak solution to PDE @Tomás So one should use test functions $\varphi \in C_c^\infty(0,T)$ for every $T > 0$ is what you mean I suppose. Sep 26 asked ODE with periodic initial/end condition